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For bivariate data. bYXbXYx¯=53,y¯=28,bYX=-1.2,bXY=-0.3 Find Correlation coefficient between X and Y. - Mathematics and Statistics

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Question

For bivariate data. `bar x = 53, bar y = 28, "b"_"YX" = - 1.2, "b"_"XY" = - 0.3` Find Correlation coefficient between X and Y.

Sum

Solution

Here, `bar x = 53, bar y = 28, "b"_"YX" = - 1.2, "b"_"XY" = - 0.3`

r = `+-sqrt("b"_"XY" * "b"_"YX")`

`= +- sqrt((- 0.3)(- 1.2))`

`= +- sqrt0.36 = +-  0.6`

Since bYX and bXY both are − negative,

r is also negative.

∴ r = −0.6

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Properties of Regression Coefficients
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Chapter 3: Linear Regression - Exercise 3.2 [Page 47]

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